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Given a die, it has 6 faces in which each face has either dot/s of 𝑥=1,2,3,4,5 𝑎𝑛𝑑 6. Given it as the population, consider sample of size 𝑛=3. Find the population mean, population variance, population standard deviation, the mean, variance and standard deviation of the sampling distribution of the sample mean and illustrate its probability histogram of the sampling distribution of the sample means
Identify the region/area under the normal curve corresponding to each of the following.
1.Between Z=0 and z=1.36
2.between z=0 and z=1.87
3.between z=1.36 and z= 2.5
4.between -1.36 and z= -1.87
5. Between z=-1.36 and z=2.5
6.between z=1.36 and z=-2.5
What is the capacitance of a parallel plate capacitor with metal plates, each of area 1.00 m2, separated by 1.00 mm?
A sample of 250 workers aged 16 and older produced an average length of time with the current employer of 4.4 years with standard deviation of 3.8 years. Construct a 99.9% confidence interval for mean job tenure of all workers aged 16 or older​
The average value of the particulate matter (PM10) in the air of Kuala Lumpur is 77 (μg/m3).. The average value of the particulate matter (PM10) is 65 (μg/m3) as calculated from the sample data. The standard deviation of the population is 44 (μg/m3). Use a significance level of α=0.05 to carry out the analysis.
Suppose that you have a computer with a memory unit of 24 bits per word. In thisÂ
computer, the assembly program’s instruction set consists of 198 different operations.Â
All instructions have an operation code part (opcode) and an address part (allowing forÂ
only one address). Each instruction is stored in one word of memory.
a. How many bits are needed for the opcode?
b. How many bits are left for the address part of the instruction?
c. How many additional instructions could be added to this instruction set withoutÂ
exceeding the assigned number of bits? Discuss and show your calculations.
d. What is the largest unsigned binary number that the address can hold?
The brick wall (of thermal conductivity 1.15 W/m · ◦ C) of a building has dimensions of 2.8 m by 9 m and is 24 cm thick. How much heat flows through the wall in a 5.5 h period when the average inside and outside temperatures are, respectively, 19◦C and 5◦C? Answer in units of MJ.
Three liquids are at temperatures of 6 â—¦C, 20â—¦C, and 34â—¦C, respectively. Equal masses of the first two liquids are mixed, and the equilibrium temperature is 17â—¦C. Equal masses of the second and third are then mixed, and the equilibrium temperature is 25.3 â—¦C. Find the equilibrium temperature when equal masses of the first and third are mixed. Answer in units of â—¦C.
The probability that Roy attends a practice session before a match is 95%. If he attends, the probability that he is chosen for the team which plays is 98%. If he does not attend, there is a 75% chance that he will be chosen for the team.
a) Construct a well-labeled tree diagram to represent all the possible outcomes.
b) What is the probability that Roy:
i) attends practice and is chosen?
ii) does not attend practice and is not chosen?
iii) does not attend practice?
iv) is chosen?
the demand function Q(P) and cost functions C(Q) of a company's are give by the equations:
Q=12000-60P
C(Q0=10000-4Q
where P and Q are the price and quantity, respectively.
What is the company's profit function?
#339914 on Dec 2023